Theorems · Theorem · sequences and series
summable_geometric_two
Summable fun n => (1 / 2) ^ n
- Defined in
- Mathlib.Analysis.SpecificLimits.Basic
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 137 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- SummationFilter.unconditionalstatement · cited by 2,068
- Summablestatement · cited by 778
- hasSum_geometric_twoproof · cited by 2
Cited by7
Results whose statement or proof uses this declaration.
- summable_geometric_two_encodeproof · cited by 2
- ContinuousLinearMap.exists_preimage_norm_leproof · cited by 2
- sum_geometric_two_leproof · cited by 2
- MeasureTheory.Egorov.measure_iUnionNotConvergentSeqproof · cited by 1
- Metric.exists_subseq_summable_dist_of_cauchySeqproof · cited by 1
- MeasureTheory.Lp.completeSpace_lp_of_cauchy_complete_eLpNormproof · cited by 0
- tsum_geometric_inv_two_geproof · cited by 0